A Class of Minimal Spectrally Arbitrary Patterns with 2n Nonzero Entries
Yanling Shao · Journal of Shanxi University · 2010
An n×n sign pattern A is a spectrally arbitrary pattern.If for any given real monic polynomial f(x) of degree n,there is a real matrix B∈Q(A) so that it charateristic polynomial is f(x).and A is known as a spectrally arbitrary pattern.If A is a spectrally arbitrary pattern and no proper subpattern of A is spectrally arbitrary,then A is a minimally spectrally arbitrary pattern.In this paper,we introduce a class of minimally spectrally arbitrary patterns with 2n nonzero entries for order n≥3.